The Riemannian Bianchi identities of metric connections with skew torsion and generalized Ricci solitons

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of differential geometry to physics (53Z05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Ricci flows (53E20)

Cites Work

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The classification of naturally reductive homogeneous spaces in dimensions $n\leq 6$
Twisting Hermitian and hypercomplex geometries
Non-Kaehler heterotic string compactifications with non-zero fluxes and constant dilaton
A note on flat metric connections with antisymmetric torsion
Blow-ups and resolutions of strong Kähler with torsion metrics
A local index theorem for non-Kähler manifolds
A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
On Riemannian geometries admitting an absolute parallelism.
M theory, orientifolds and $G$-flux.
A no-go theorem for string warped compactifications
Geometry of quaternionic Kähler connections with torsion
Twistor spaces for hyper-Kähler manifolds with torsion
Parallel spinors and connections with skew-symmetric torsion in string theory.
Families of strong KT structures in six dimensions
Semilinear equations, the $\gamma_k$ function, and generalized Gauduchon metrics
Vanishing theorems on $(\ell | k)$-strong Kähler manifolds with torsion
Heterotic black horizons
Some remarks on Hermitian manifolds satisfying Kähler-like conditions
The Gibbons-Hawking ansatz in generalized Kähler geometry
Heterotic horizons, Monge-Ampère equation and del Pezzo surfaces
Classification of solitons for pluriclosed flow on complex surfaces
Invariant connections and $\nabla$-Einstein structures on isotropy irreducible spaces
Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics
The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
Strominger connection and pluriclosed metrics
On Gauduchon connections with Kähler-like curvature
Vanishing theorems and string backgrounds
Invariant connections with skew-torsion and $\nabla$-Einstein manifolds
GEOMETRY OF HERMITIAN MANIFOLDS
EINSTEIN MANIFOLDS WITH SKEW TORSION
On Bismut flat manifolds
Generalized Ricci Flow
A Parabolic Flow of Pluriclosed Metrics
Classification of Generalized <scp>Kähler‐Ricci</scp> Solitons on Complex Surfaces
On generalized Gauduchon metrics
Curvature and Betti Numbers. (AM-32)
Variational structure and uniqueness of generalized Kähler-Ricci solitons

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